Answer:
Step-by-step explanation:
Given
See attachment for illustration
Required
Equation to find x
The relationship between angle 
and side lengths x and 10 inches is by tangent formula which is given by:
So, we have:
Make x the subject
Answer:
Each student club must contribute $ 33.33 in order to meet the fundraising goal.
Step-by-step explanation:
Given that a school fundraiser has a minimum target of $ 500. Faculty have donated $ 100 and there are 12 student clubs that are participating with different activities, to determine how much money should each club raise to meet the fundraising goal, the following calculation must be performed:
(500 - 100) / 12 = X
400/12 = X
33,333 = X
Thus, each student club must contribute $ 33.33 in order to meet the fundraising goal.
The 99% Confidence interval for the mean sale time for all homes in the neighborhood is:87.857, 112.143.
<h3>Confidence interval</h3>
a. The assumption is: Assume that the population has a normal distribution.
The CI is exact for the normal populations and for small samples the z-interval method should be used in a situation where the variable is normally distributed.
b. Confidence interval:
CI=Sample mean±z-score×Standard deviation/√Size of the sample
CI=100-2.576×20/√18, 100+2.576×20/√18
CI=100-12.143, 100+12.143
CI=87.857, 112.143
Therefore the 99% Confidence interval is 87.857, 112.143.
Learn more about Confidence interval here:brainly.com/question/15712887
#SPJ1
Answer:
x=6 2/5
Step-by-step explanation:
I don't know how to explain other than doing the math of (x*5)/2=16
Answer:
0 < y ≤ 72.
Step-by-step explanation:
We are given the maximum length of the tray is 12 inches. This implies that;
x + 5 ≤ 12
x ≤ 7
Therefore, the maximum value of x is 7 inches. The maximum width will thus be;
x - 1 = 7 - 1 = 6 inches.
The maximum area, y, will thus be;
Area = length * width
Area = 12 * 6 = 72
The reasonable domain will thus be;
0 < y ≤ 72.
The area is simply between 0 and 72. The area of any object can not be negative.
